# Exam 4 Study Guide: Chapters 9-10

1. Four scatter plots are shown. Match the scatter plot with the value of the correlation coefficient.
2. Identify the type of linear correlation based on the value of r and the p-value.
3. Rank the multiple regression models from best to worst based on the appropriate values. The R2, adjusted-R2, and number of predictor variables is given.
4. Correlation and regression - the regression equation is given.
1. Complete the table of coefficients
2. Give a conclusion about the y-intercept or slope
3. Use the regression equation to estimate a value of the response variable.
4. The Sum of Squares are given, complete the ANOVA table.
5. Find the value of the coefficient of determination, r2
5. Correlation and regression - the summary statistics, correlation coefficient and p-value are given
1. Give a conclusion
2. Write the coordinates of the centroid
3. Find the slope of the regression equation
4. Write the equation of the regression line
5. Complete the ANOVA table. This table is completely blank to begin with.
6. This problem is like the chapter 9 homework.
6. Multiple Regression - the table of coefficients is given.
1. Give a conclusion based on the table of coefficient p-values.
2. Decide which one variable you would keep or eliminate from the model.
3. The Sum of Squares and one of the df is given, complete the ANOVA table.
4. Write the null and/or alternative hypothesis for the ANOVA table.
5. Find the value of R2 and/or adjusted-R2 from the ANOVA table.
6. Find the variance of the response variable.
7. Chi-squared goodness of fit test - the observed frequencies and claimed proportions are given
1. Find the expected frequencies.
2. Give the number of degrees of freedom.
3. Know the null and alternative hypotheses.
4. The test statistic and/or p-value are given; determine if the test statistic lies in the critical region.
5. Give the decision and conclusion.
8. Complete the ANOVA table. This is a "difficult" level ANOVA table from the ANOVA generator that we looked at in class.
9. Test for independence / contingency table - the observed frequencies are given.
1. Know the null and alternative hypotheses.
2. Find the expected frequency for one of the cells in the table
3. Determine the degrees of freedom
4. The test statistic and/or p-value are given; give the decision and conclusion.
10. One way analysis of variance - summary information is given
1. Write the null and alternative hypothesis.
2. Complete the ANOVA table
3. Give a conclusion
4. Find the pooled estimate of the variance
5. Find the variance of the response variable
11. Two-way analysis of variance
1. Complete the two-way ANOVA table
2. Know the three null and alternative hypotheses being tested with the table
3. Give conclusions based on results from the table.
12. Use the output from Minitab to perform a hypothesis test. This could be from any of the hypothesis tests that we've done this semester: 1 proportion, 2 proportions, 1 mean, 2 independent means, paired means, or correlation. Be able to write the null and alternative hypotheses and pick out the test statistic and p-value and put them into the proper places in one of the "left / right / two" tables. Write the confidence interval using the proper symbols. Finally, properly word the conclusions.

## Notes

• You will definitely want a calculator.
• You will not need Minitab. The computers will be off during the exam.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 Total 8 6 5 19 12 15 13 10 12 16 17 17 150